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Math Help - equation

  1. #1
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    equation

    Can we solve this equation without choices ?

    9^x-8^x=3
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  2. #2
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    Re: equation

    Quote Originally Posted by Mhmh96 View Post
    Can we solve this equation without choices ?

    9^x-8^x=3
    Yes , graphically....
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  3. #3
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    Re: equation

    or use an iterative method, for example...

    x_{n+1}=x_n-\frac{9^{x_n}-8^{x_n}-3}{9^{x_n}\ln 9 -8^{x_n} \ln 8}

    Starting with x_o=1

    x_5=1.367251988
    x_6=1.367251981

    The above uses Newton's method.
    Last edited by a tutor; April 12th 2012 at 11:44 PM.
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